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1308219840 = 263253114653
BaseRepresentation
bin100110111111001…
…1101100111000000
310101011122110020200
41031332131213000
510134401013330
6333451405200
744263454004
oct11576354700
93334573220
101308219840
11611501a24
12306153800
1317b0554a5
14c5a60704
1579cb5a60
hex4df9d9c0

1308219840 has 168 divisors, whose sum is σ = 4645200768. Its totient is φ = 337582080.

The previous prime is 1308219827. The next prime is 1308219877. The reversal of 1308219840 is 489128031.

It is a super-2 number, since 2×13082198402 = 3422878299539251200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1308219795 and 1308219804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81954 + ... + 96606.

Almost surely, 21308219840 is an apocalyptic number.

1308219840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1308219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322600384).

1308219840 is an abundant number, since it is smaller than the sum of its proper divisors (3336980928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1308219840 is a wasteful number, since it uses less digits than its factorization.

1308219840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14707 (or 14694 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1308219840 is about 36169.3218072996. The cubic root of 1308219840 is about 1093.6883274505.

The spelling of 1308219840 in words is "one billion, three hundred eight million, two hundred nineteen thousand, eight hundred forty".